Greatest Common Factor of 3960/338, 2049/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3960/338, 2049/441

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3960/338,2049/441

Given fractions are 3960/338,2049/441

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3960,2049

Greatest Common Factor of Numerators i.e. GCF of 3960,2049 is 3 .

LCM of Denominators means LCM of 338,441 as per the given fractions.

LCM of 338,441 is 149058 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3960,2049

GCF of Fractions 3960/338,2049/441 is 3/149058

3 3960, 2049
1320, 683

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3960,2049 By Matching Biggest Common Factor Method

Greatest Common Factor of 3960,2049 By Matching Biggest Common Factor Method

Factors of 3960

List of positive integer factors of 3960 that divides 3960 without a remainder.

1,2,3,4,5,6,8,9,10,11,12,15,18,20,22,24,30,33,36,40,44,45,55,60,66,72,88,90,99,110,120,132,165,180,198,220,264,330,360,396,440,495,660,792,990,1320,1980,3960

Factors of 2049

List of positive integer factors of 2049 that divides 2049 without a remainder.

1,3,683,2049

Greatest Common Factor

We found the factors 3960,2049 . The biggest common factor number is the GCF number.
So the greatest common factor 3960,2049 is 3.

Lets's calculate LCM of 338,441

Given numbers has no common factors except 1. So, there LCM is their product i.e 149058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/149058

Therefore, the GCF of Fractions 3960/338,2049/441 is 3/149058

Least Common Multiple of 338,441 with GCF Formula

Least Common Multiple of 338,441 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 338,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,441) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(338,441) x common factors =1 x 1 = 1

LCM(338,441) = ( 338 × 441 ) / 1

LCM(338,441) = 149058 / 1

LCM(338,441) = 149058


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3960/338, 2049/441

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3960/338, 2049/441?

Answer: GCF of Numerators as per given numbers 3960/338, 2049/441 is

GCF of Numerators i.e. for 3960,2049 is 3

LCM of denominators i.e. for 338,441 is 149058.

Thus, GCF of Fractions is 3/149058.Finally, GCF of Fractions for 3960/338, 2049/441 is 3/149058.